Fractions quiz

Fractions Quiz: Simplifying, Comparing, and Operations

Practice fractions with questions about simplifying, comparing, adding, subtracting, multiplying, dividing, and converting fractions. Use hints when needed, choose an answer, and review the explanation after each question.

Start quiz How this quiz works

1 Question 1 of 10

Not answered

Simplify the fraction 6/12.

Hint: Divide the numerator and denominator by their greatest common factor.

Explanation: The greatest common factor of 6 and 12 is 6. Divide both by 6: 6/12 = 1/2.

2 Question 2 of 10

Not answered

Which fraction is greater: 3/4 or 2/3?

Hint: Use a common denominator or cross multiply.

Explanation: Compare by cross multiplication: 3 × 3 = 9 and 2 × 4 = 8. Since 9 > 8, 3/4 is greater.

3 Question 3 of 10

Not answered

What is 1/4 + 2/4?

Hint: The denominators are already the same, so add only the numerators.

Explanation: When denominators are the same, add the numerators: 1/4 + 2/4 = 3/4.

4 Question 4 of 10

Not answered

What is 5/6 - 1/6?

Hint: The denominators are the same, so subtract the numerators.

Explanation: 5/6 - 1/6 = 4/6. This can also be simplified to 2/3, but 4/6 is the matching answer.

5 Question 5 of 10

Not answered

What is 2/3 × 3/5?

Hint: Multiply numerators and denominators, then simplify.

Explanation: 2/3 × 3/5 = 6/15. Simplify by dividing by 3: 6/15 = 2/5.

6 Question 6 of 10

Not answered

What is 3/4 ÷ 1/2?

Hint: To divide by a fraction, multiply by its reciprocal.

Explanation: 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.

7 Question 7 of 10

Not answered

Convert 0.25 to a fraction.

Hint: 0.25 means 25 hundredths.

Explanation: 0.25 = 25/100. Simplify by dividing by 25: 25/100 = 1/4.

8 Question 8 of 10

Not answered

Convert 7/4 to a mixed number.

Hint: Divide 7 by 4 and use the remainder as the numerator.

Explanation: 7 ÷ 4 = 1 remainder 3. So 7/4 = 1 3/4.

9 Question 9 of 10

Not answered

What is the least common denominator of 1/6 and 1/8?

Hint: Find the least common multiple of 6 and 8.

Explanation: Multiples of 6 include 6, 12, 18, 24. Multiples of 8 include 8, 16, 24. The least common denominator is 24.

10 Question 10 of 10

Not answered

What is 1/2 + 1/3?

Hint: Use 6 as a common denominator.

Explanation: Convert both fractions: 1/2 = 3/6 and 1/3 = 2/6. Then 3/6 + 2/6 = 5/6.

Your result

You answered 0 out of 10 questions correctly.

About this math quiz

This carousel quiz template shows one question at a time. Students can move back and forward, request a hint, answer the question, and then review the explanation.

You can reuse this file for Algebra, Geometry, Arithmetic, Fractions, Statistics, and Hard Math pages by changing the PHP array with questions at the top of the file.